Cremona's table of elliptic curves

117975 = 3 · 5² · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
117975a (1 curve)	1	3+ 5+ 11+ 13+	-1 3+ 5+  1 11+ 13+ -5  5
Curve Equation t Generators 117975a1 [1,1,1,212,2366] 1 [94:882:1]
117975b (1 curve)	1	3+ 5+ 11+ 13+	2 3+ 5+  4 11+ 13+  3  3
Curve Equation t Generators 117975b1 [0,-1,1,-654408,-223277407] 1 [4934118:182237903:2744]
117975c (1 curve)	0	3+ 5+ 11+ 13-	1 3+ 5+ -1 11+ 13-  5 -5
Curve Equation t 117975c1 [1,1,0,25650,-3021135] 1
117975d (1 curve)	2	3+ 5+ 11+ 13-	-2 3+ 5+ -4 11+ 13- -3 -3
Curve Equation t Generators 117975d1 [0,-1,1,-5408,169718] 1 [-13:487:1]&[37:-138:1]
117975e (1 curve)	0	3+ 5+ 11- 13+	0 3+ 5+  0 11- 13+  7  4
Curve Equation t 117975e1 [0,-1,1,-554583,157355318] 1
117975f (2 curves)	2	3+ 5+ 11- 13+	0 3+ 5+  1 11- 13+ -6 -1
Curve Equation t Generators 117975f1 [0,-1,1,-221833,40726443] 1 [-2982:67635:8]&[-343:8737:1] 117975f2 [0,-1,1,776417,206935068] 1 [522:-27463:1]&[1343262:824798865:54872]
117975g (2 curves)	0	3+ 5+ 11- 13+	0 3+ 5+ -2 11- 13+ -3  2
Curve Equation t 117975g1 [0,-1,1,-8873333,-8365204057] 1 117975g2 [0,-1,1,-682692083,-6865481713432] 1
117975h (1 curve)	0	3+ 5+ 11- 13+	-1 3+ 5+ -1 11- 13+ -7  0
Curve Equation t 117975h1 [1,1,1,36237,-19284594] 1
117975i (1 curve)	0	3+ 5+ 11- 13+	2 3+ 5+  1 11- 13+  4 -1
Curve Equation t 117975i1 [0,-1,1,29242,-3154207] 1
117975j (1 curve)	0	3+ 5+ 11- 13+	2 3+ 5+ -1 11- 13+ -7  6
Curve Equation t 117975j1 [0,-1,1,-200658,54417593] 1
117975k (1 curve)	0	3+ 5+ 11- 13+	-2 3+ 5+ -3 11- 13+  0 -1
Curve Equation t 117975k1 [0,-1,1,-3582608,-2609394382] 1
117975l (1 curve)	1	3+ 5+ 11- 13-	0 3+ 5+  0 11- 13- -7 -4
Curve Equation t Generators 117975l1 [0,-1,1,-4583,-116557] 1 [-37:31:1]
117975m (2 curves)	1	3+ 5+ 11- 13-	0 3+ 5+ -1 11- 13-  6  1
Curve Equation t Generators 117975m1 [0,-1,1,-1833,-29932] 1 [52:112:1] 117975m2 [0,-1,1,6417,-157807] 1 [337:6337:1]
117975n (2 curves)	1	3+ 5+ 11- 13-	0 3+ 5+  2 11- 13-  3 -2
Curve Equation t Generators 117975n1 [0,-1,1,-73333,6311568] 1 [-102:3566:1] 117975n2 [0,-1,1,-5642083,5160189693] 1 [1371:45:1]
117975o (2 curves)	1	3+ 5+ 11- 13-	1 3+ 5+  2 11- 13-  2 -8
Curve Equation t Generators 117975o1 [1,1,0,-53000,-5464125] 2 [14745610:92442695:50653] 117975o2 [1,1,0,-884875,-320744750] 2 [1170:15140:1]
117975p (8 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+  0 11- 13-  2  4
Curve Equation t Generators 117975p1 [1,1,1,-332813,-74037094] 2 [18030:29684:27] 117975p2 [1,1,1,-347938,-66958594] 4 [-324:3610:1] 117975p3 [1,1,1,635187,-375659844] 2 [44877:1938595:27] 117975p4 [1,1,1,-1573063,695069156] 4 [-830:38227:1] 117975p5 [1,1,1,1830062,3295056656] 2 [-880:32127:1] 117975p6 [1,1,1,-24578188,46889360156] 4 [1390:1650951:8] 117975p7 [1,1,1,-23988313,49247680406] 2 [1742:1677879:8] 117975p8 [1,1,1,-393250063,3001425766406] 2 [101390:1797651:8]
117975q (6 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+  0 11- 13- -6  4
Curve Equation t Generators 117975q1 [1,1,1,-72663,-10844844] 2 [372489850:12576435506:300763] 117975q2 [1,1,1,-1297788,-569501844] 4 [4960:336707:1] 117975q3 [1,1,1,-1433913,-442905594] 4 [-390:7757:1] 117975q4 [1,1,1,-20763663,-36425643594] 2 [4394475:172613773:729] 117975q5 [1,1,1,4056462,-3012401094] 2 [19575:2742962:1] 117975q6 [1,1,1,-9102288,10231472406] 2 [2145:23052:1]
117975r (4 curves)	1	3+ 5+ 11- 13-	-1 3+ 5+  4 11- 13-  2 -4
Curve Equation t Generators 117975r1 [1,1,1,-136188,19284156] 4 [27120:-2153:125] 117975r2 [1,1,1,-151313,14716406] 4 [350:2012:1] 117975r3 [1,1,1,438562,102017906] 2 [-45115:2247386:343] 117975r4 [1,1,1,-983188,-364618594] 2 [-500:1762:1]
117975s (1 curve)	1	3+ 5+ 11- 13-	2 3+ 5+  3 11- 13-  0  1
Curve Equation t Generators 117975s1 [0,-1,1,-29608,1971243] 1 [-534:15271:8]
117975t (1 curve)	1	3+ 5+ 11- 13-	2 3+ 5+ -3 11- 13-  5 -2
Curve Equation t Generators 117975t1 [0,-1,1,-1008,112793] 1 [-134:2821:8]
117975u (1 curve)	1	3+ 5+ 11- 13-	2 3+ 5+  4 11- 13-  5  5
Curve Equation t Generators 117975u1 [0,-1,1,-1183290258,-15777684081457] 1 [355611685265717277453954580604465398233036704074980526718373577005498589062477616168402650423135846:477860892307249340766061748204550809484288918099647262639952779627639038170498709920994129713284984571:196863937475349317845031898971120342781626440884839220927423178762684333518216028941079545208]
117975v (1 curve)	1	3+ 5+ 11- 13-	-2 3+ 5+ -1 11- 13- -4  1
Curve Equation t Generators 117975v1 [0,-1,1,3538242,4184096168] 1 [1622:119112:1]
117975w (2 curves)	2	3+ 5- 11+ 13+	-1 3+ 5-  2 11+ 13+ -2  4
Curve Equation t Generators 117975w1 [1,1,1,-916033,-337829194] 2 [-551:283:1]&[21085150:-475554771:15625] 117975w2 [1,1,1,-949308,-312007794] 2 [-555:6932:1]&[1890:67242:1]
117975x (2 curves)	1	3+ 5- 11+ 13-	1 3+ 5- -2 11+ 13-  2 -4
Curve Equation t Generators 117975x1 [1,1,0,-7570,250375] 2 [54:25:1] 117975x2 [1,1,0,-7845,230850] 2 [6:426:1]
117975y (1 curve)	1	3+ 5- 11- 13+	0 3+ 5- -1 11- 13+ -1  4
Curve Equation t Generators 117975y1 [0,-1,1,-10083,-5041807] 1 [39888701:1103641986:50653]
117975z (1 curve)	1	3+ 5- 11- 13+	0 3+ 5- -4 11- 13+ -1  4
Curve Equation t Generators 117975z1 [0,-1,1,-10083,-386332] 1 [-58:2:1]
117975ba (1 curve)	1	3+ 5- 11- 13+	2 3+ 5-  2 11- 13+  3  0
Curve Equation t Generators 117975ba1 [0,-1,1,-458,-1057] 1 [-1148:2057:64]
117975bb (1 curve)	1	3+ 5- 11- 13+	-2 3+ 5-  2 11- 13+ -3 -8
Curve Equation t Generators 117975bb1 [0,-1,1,-2384708,1167584318] 1 [-1102:49558:1]
117975bc (1 curve)	0	3+ 5- 11- 13-	0 3+ 5-  4 11- 13-  1 -4
Curve Equation t 117975bc1 [0,-1,1,-1220083,519087843] 1
117975bd (1 curve)	0	3+ 5- 11- 13-	1 3+ 5- -3 11- 13- -5  8
Curve Equation t 117975bd1 [1,1,0,-137700,20399625] 1
117975be (1 curve)	0	3+ 5- 11- 13-	2 3+ 5- -2 11- 13-  3  8
Curve Equation t 117975be1 [0,-1,1,-19708,-870057] 1
117975bf (2 curves)	2	3+ 5- 11- 13-	-2 3+ 5- -2 11- 13-  3 -5
Curve Equation t Generators 117975bf1 [0,-1,1,-448708,405496068] 1 [-557:21961:1]&[-458:22687:1] 117975bf2 [0,-1,1,-22077458,-59371377682] 1 [18803:2484553:1]&[6167:197437:1]
117975bg (1 curve)	0	3+ 5- 11- 13-	-2 3+ 5- -2 11- 13- -3  0
Curve Equation t 117975bg1 [0,-1,1,-55458,1628318] 1
117975bh (1 curve)	1	3- 5+ 11- 13+	0 3- 5+ -1 11- 13+  2  5
Curve Equation t Generators 117975bh1 [0,1,1,67467,-4948531] 1 [93:1462:1]
117975bi (1 curve)	1	3- 5+ 11- 13+	0 3- 5+  3 11- 13+  2 -7
Curve Equation t Generators 117975bi1 [0,1,1,-183,-1831] 1 [831:4049:27]
117975bj (1 curve)	1	3- 5+ 11- 13+	0 3- 5+ -4 11- 13+ -1 -4
Curve Equation t Generators 117975bj1 [0,1,1,-30502083,64824976244] 1 [3234:3913:1]
117975bk (1 curve)	1	3- 5+ 11- 13+	0 3- 5+ -5 11- 13+  2  1
Curve Equation t Generators 117975bk1 [0,1,1,-1192265433,15845160876419] 1 [19953:4387:1]
117975bl (1 curve)	1	3- 5+ 11- 13+	-1 3- 5+  3 11- 13+  5  8
Curve Equation t Generators 117975bl1 [1,0,0,-5508,163197] 1 [-9:465:1]
117975bm (1 curve)	1	3- 5+ 11- 13+	2 3- 5+  2 11- 13+  3  0
Curve Equation t Generators 117975bm1 [0,1,1,-2218,12139] 1 [9523450:67390547:125000]
117975bn (1 curve)	1	3- 5+ 11- 13+	2 3- 5+  3 11- 13+ -1  2
Curve Equation t Generators 117975bn1 [0,1,1,-575758,-172862981] 1 [143194:19140671:8]
117975bo (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  2 11- 13+ -3  8
Curve Equation t Generators 117975bo1 [0,1,1,-788,-7276] 1 [-11:13:1]
117975bp (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  3 11- 13+  4 -5
Curve Equation t Generators 117975bp1 [0,1,1,-122008,-248412356] 1 [40336835:929878046:42875]
117975bq (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+  3 11- 13+ -8  1
Curve Equation t Generators 117975bq1 [0,1,1,-25208,-2467756] 1 [373:-6338:1]
117975br (1 curve)	1	3- 5+ 11- 13+	-2 3- 5+ -4 11- 13+  3 -1
Curve Equation t Generators 117975br1 [0,1,1,29242,91394] 1 [238:4537:1]
117975bs (1 curve)	0	3- 5+ 11- 13-	0 3- 5+  1 11- 13- -2 -5
Curve Equation t 117975bs1 [0,1,1,8163467,6619148344] 1
117975bt (1 curve)	0	3- 5+ 11- 13-	0 3- 5+ -3 11- 13- -2  7
Curve Equation t 117975bt1 [0,1,1,-22183,2348044] 1
117975bu (1 curve)	0	3- 5+ 11- 13-	0 3- 5+  4 11- 13-  1  4
Curve Equation t 117975bu1 [0,1,1,-252083,-48795631] 1
117975bv (1 curve)	0	3- 5+ 11- 13-	0 3- 5+  5 11- 13- -2 -1
Curve Equation t 117975bv1 [0,1,1,-9853433,-11908286956] 1
117975bw (2 curves)	2	3- 5+ 11- 13-	1 3- 5+ -2 11- 13- -6  0
Curve Equation t Generators 117975bw1 [1,0,1,143624,-13155727] 2 [187:4406:1]&[3446:89023:8] 117975bw2 [1,0,1,-688251,-114644477] 2 [-5354:57123:8]&[-613:9081:1]
117975bx (4 curves)	0	3- 5+ 11- 13-	1 3- 5+  4 11- 13-  6  0
Curve Equation t 117975bx1 [1,0,1,-219668001,1253117990023] 2 117975bx2 [1,0,1,-219683126,1252936792523] 4 117975bx3 [1,0,1,-191565751,1585452869273] 2 117975bx4 [1,0,1,-248042501,908824136273] 2
117975by (4 curves)	0	3- 5+ 11- 13-	1 3- 5+ -4 11- 13-  2  0
Curve Equation t 117975by1 [1,0,1,1449,45373] 2 117975by2 [1,0,1,-13676,529373] 4 117975by3 [1,0,1,-59051,-5006377] 2 117975by4 [1,0,1,-210301,37101623] 2
117975bz (8 curves)	0	3- 5+ 11- 13-	-1 3- 5+  0 11- 13-  2 -4
Curve Equation t 117975bz1 [1,0,0,-13494313313,-603358044067008] 2 117975bz2 [1,0,0,-13494328438,-603356623905133] 4 117975bz3 [1,0,0,-13273125313,-624092426045758] 2 117975bz4 [1,0,0,-13715773563,-582529931344008] 4 117975bz5 [1,0,0,11336807562,-2471870336885883] 2 117975bz6 [1,0,0,-42311476688,2639719683890367] 4 117975bz7 [1,0,0,94136820187,16157243110405992] 2 117975bz8 [1,0,0,-636291023563,195346286015187242] 4
117975ca (2 curves)	0	3- 5+ 11- 13-	-1 3- 5+  0 11- 13- -4  8
Curve Equation t 117975ca1 [1,0,0,5987,-224608] 2 117975ca2 [1,0,0,-39388,-2266483] 2
117975cb (1 curve)	0	3- 5+ 11- 13-	2 3- 5+  0 11- 13- -7 -1
Curve Equation t 117975cb1 [0,1,1,-6038908,-5714638781] 1
117975cc (1 curve)	0	3- 5+ 11- 13-	2 3- 5+ -2 11- 13-  3 -8
Curve Equation t 117975cc1 [0,1,1,-95388,9302519] 1
117975cd (1 curve)	0	3- 5+ 11- 13-	2 3- 5+ -3 11- 13- -4  5
Curve Equation t 117975cd1 [0,1,1,-1008,186269] 1
117975ce (1 curve)	0	3- 5+ 11- 13-	2 3- 5+ -3 11- 13-  8 -1
Curve Equation t 117975ce1 [0,1,1,-3050208,3272382119] 1
117975cf (1 curve)	2	3- 5+ 11- 13-	-2 3- 5+ -2 11- 13- -3  0
Curve Equation t Generators 117975cf1 [0,1,1,-18,-16] 1 [-3:4:1]&[-1:1:1]
117975cg (1 curve)	1	3- 5- 11+ 13+	-1 3- 5-  1 11+ 13+ -5 -5
Curve Equation t Generators 117975cg1 [1,0,0,641237,-378924358] 1 [3131215991:-299313895:6967871]
117975ch (2 curves)	1	3- 5- 11+ 13+	-1 3- 5-  2 11+ 13+ -2 -4
Curve Equation t Generators 117975ch1 [1,0,0,-189263,31675392] 2 [119763:921747:343] 117975ch2 [1,0,0,-196138,29248517] 2 [1027:29674:1]
117975ci (1 curve)	0	3- 5- 11+ 13-	1 3- 5- -1 11+ 13-  5  5
Curve Equation t 117975ci1 [1,0,1,5299,285173] 1
117975cj (2 curves)	0	3- 5- 11+ 13-	1 3- 5- -2 11+ 13-  2  4
Curve Equation t 117975cj1 [1,0,1,-22900826,-42182847577] 2 117975cj2 [1,0,1,-23732701,-38953508827] 2
117975ck (1 curve)	0	3- 5- 11- 13+	0 3- 5-  0 11- 13+  7 -4
Curve Equation t 117975ck1 [0,1,1,-183,-1006] 1
117975cl (2 curves)	2	3- 5- 11- 13+	0 3- 5- -2 11- 13+ -3 -2
Curve Equation t Generators 117975cl1 [0,1,1,-2933,49319] 1 [43:-68:1]&[-17:307:1] 117975cl2 [0,1,1,-225683,41191244] 1 [2186:-163:8]&[264:283:1]
117975cm (2 curves)	0	3- 5- 11- 13+	2 3- 5-  2 11- 13+ -3 -5
Curve Equation t 117975cm1 [0,1,1,-17948,3236789] 1 117975cm2 [0,1,1,-883098,-475324261] 1
117975cn (1 curve)	1	3- 5- 11- 13-	0 3- 5-  0 11- 13- -7  4
Curve Equation t Generators 117975cn1 [0,1,1,-22183,1249969] 1 [-91:1588:1]
117975co (1 curve)	1	3- 5- 11- 13-	0 3- 5-  1 11- 13-  1  4
Curve Equation t Generators 117975co1 [0,1,1,-403,-40496] 1 [38:22:1]
117975cp (2 curves)	1	3- 5- 11- 13-	0 3- 5-  2 11- 13-  3  2
Curve Equation t Generators 117975cp1 [0,1,1,-354933,-67063606] 3 [738:8572:1] 117975cp2 [0,1,1,-27307683,-54934776781] 1 [109722:11732129:8]
117975cq (1 curve)	1	3- 5- 11- 13-	1 3- 5-  1 11- 13-  7  0
Curve Equation t Generators 117975cq1 [1,0,1,1449,-154277] 1 [47:111:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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